Whakaoti i te (-3)^2*(1/2)^5*(-3)div(-3/2)^2=

$$( - 3 ) ^ { 2 } \cdot ( \frac { 1 } { 2 } ) ^ { 5 } \cdot ( - 3 ) \div ( - \frac { 3 } { 2 } ) ^ { 2 } =$$

Aromātai

$$-\frac{3}{8}=-0.375$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$\frac{\left(-3\right)^{3}\times \left(\frac{1}{2}\right)^{5}}{\left(-\frac{3}{2}\right)^{2}}$$

Tātaihia te -3 mā te pū o 3, kia riro ko -27.

$$\frac{-27\times \left(\frac{1}{2}\right)^{5}}{\left(-\frac{3}{2}\right)^{2}}$$

Tātaihia te \frac{1}{2} mā te pū o 5, kia riro ko \frac{1}{32}.

$$\frac{-27\times \frac{1}{32}}{\left(-\frac{3}{2}\right)^{2}}$$

Whakareatia te -27 ki te \frac{1}{32}, ka \frac{-27}{32}.

$$\frac{\frac{-27}{32}}{\left(-\frac{3}{2}\right)^{2}}$$

Ka taea te hautanga \frac{-27}{32} te tuhi anō ko -\frac{27}{32} mā te tango i te tohu tōraro.

$$\frac{-\frac{27}{32}}{\left(-\frac{3}{2}\right)^{2}}$$

Tātaihia te -\frac{3}{2} mā te pū o 2, kia riro ko \frac{9}{4}.

$$\frac{-\frac{27}{32}}{\frac{9}{4}}$$

Whakawehe -\frac{27}{32} ki te \frac{9}{4} mā te whakarea -\frac{27}{32} ki te tau huripoki o \frac{9}{4}.

$$-\frac{27}{32}\times \frac{4}{9}$$

Me whakarea te -\frac{27}{32} ki te \frac{4}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-27\times 4}{32\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{-27\times 4}{32\times 9}.

$$\frac{-108}{288}$$

Whakahekea te hautanga \frac{-108}{288} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 36.

$$-\frac{3}{8}$$

Tauwehe

$$-\frac{3}{8} = -0.375$$